Boson representations of symplectic algebras

DOI10.1007/BF00668689zbMath0613.22008MaRDI QIDQ1088791

B. George

Publication date: 1986

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

group representationssymplectic algebrasdynamical groupsboson operators

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

A Weil Representation of sp(4) Realized by Differential Operators in the Space of Smooth Functions on S² × S¹ ⋮ sl(2)-modules by sl(2)-coherent states ⋮ A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1

Cites Work

• Group theory approach to scattering
• The discrete series of \(Sp(n,\mathbb{R})\)
• Wigner Coefficients for the S<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">U</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>Group and some Applications
• Coupling problem for U(p, q) ladder representations. I
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup

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